Name: NOT Gate
Uploaded: 2019-07-19
Duration: 4 min 12 s
Description: A NOT gate gives us an inverted output of what we provide as input. Here in this video, let us discuss the analogy and expression for this gate.

Question

Explain how NAND gate can be used to obtain the basic logic gates NOT, AND and OR.

Accepted Answer

To obtain NOT gate by using NAND gate

The truth table of the combination is:

A B=A $Y = \bar{A} = \bar{B}$

$0$ $0$ $1$

$1$ $1$ $0$

The two inputs of the NAND gate are joined , so that it has one input NAND gate function as the NOT gate

To obtain AND gate by using NAND gate

The output of a NAND gate is fed to two inputs to another NAND gate. The combination will perform as an AND gate.

A B Y' $Y = \bar{Y'}$

$0$ $0$ $1$ $0$

$1$ $0$ $0$ $0$

$0$ $1$ $1$ $0$

$1$ $1$ $0$ $1$

To obtain OR by using NAND gate

If the input of NAND gate are joined togather, we get NOT gate.Here the input A and B are inverted. Their outputs are jointly fed to the input of the NAND gate , We get the arrangement which work as OR gate

A B $\bar{A}$ $\bar{B}$ $Y = A + B$

$0$ $0$ $1$ $1$ $0$

$0$ $1$ $1$ $0$ $1$

$1$ $0$ $0$ $1$ $1$

$1$ $1$ $0$ $0$ $1$

Explain how NAND gate can be used to obtain the basic logic gates NOT, AND and OR.

Important Questions on Logic Gates

Learn and Prepare for any exam you want !